13068960 has 96 divisors (see below), whose sum is σ = 43364160. Its totient is φ = 3299328.

The previous prime is 13068929. The next prime is 13068967. The reversal of 13068960 is 6986031.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13068967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8404 + ... + 9836.

It is an arithmetic number, because the mean of its divisors is an integer number (451710).

Almost surely, 2^13068960 is an apocalyptic number.

13068960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682080).

13068960 is an abundant number, since it is smaller than the sum of its proper divisors (30295200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13068960 is a wasteful number, since it uses less digits than its factorization.

13068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 13068960 is about 3615.1016583217. The cubic root of 13068960 is about 235.5484999799.

It can be divided in two parts, 13068 and 960, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13068960 in words is "thirteen million, sixty-eight thousand, nine hundred sixty".